Thanks for publishing your controlled tests. The results are quite interesting.
I've never used my filters with any lens shorter than 24mm, and there I use the wide angle adapter ring. I've never experienced the level of vignetting you do at the 20mm setting, in 1.3. The flare that you show seems to be an issue with the square filters. I've gone to the Lee wide angle hood, rather than the foundation kit holder and it seems to help; BUT there is a greater risk of introducing vignetting if I am not extremely careful in setting up the hood (it uses the classic accordion approach to telescope).